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Gekata [30.6K]
4 years ago
12

Let v be the vector from initial point P1 to terminal point P2. Write v in terms of i and j. 2) P1 = (0, 0); P2 = (3, -4)

Mathematics
1 answer:
Tasya [4]4 years ago
7 0
Vector from P1 to P2 can be obtained by subtraction, similar to P2-P1.

In detail, it is
v=<x2-x1, y2-y1>
=<3-0,-4-0>
=<3,-4>


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Convert 7.23 (3 reapting) to a fraction
Svetllana [295]

x=7.2\overline{3}\\\\10x=72.\overline{3}\\\\100x=723.\overline{3}\\\\100x-10x=723.\overline{3}-72.\overline{3}\\\\90x=651\\\\x=\dfrac{651}{90}=\dfrac{217}{30}

8 0
3 years ago
The blue line is the graph of y=-4x + 5. Use the
WARRIOR [948]

Answer:

(1,1)

Step-by-step explanation:

1=-2(1)+3

1= -2 +3

1=1

1=-4(1)=5

1=-4=5

1=1

7 0
3 years ago
Read 2 more answers
A piggy bank contains 36 coins that consists of dimes and quarters totaling $5.85 how many quarters are in the piggy bank in you
Lesechka [4]
The main idea here is to "translate" the words into maths. 
First we need to identify the unknowns and label these. 

We need to know the number if dimes and the number of quarters. So lets say
x: number of dimes
y: number of quarters

Now lets write equations from the written problem. 
We know that there are 36 coind total, thus: 
x + y = 36
We also know that the coins total 5.85 dollars, but it is better to count in cents, that is 585 cents. 
x are the number of dimes, their value is x*10
y are quarters with value of y*25
thus: 
10x+25y=585

We have two equations and two unknowns now, that needs to be solved to get the answer. 

x + y = 36
10x+25y=585


4 0
3 years ago
Read 2 more answers
In the largest clinical trial ever​ conducted, 401,974 children were randomly assigned to two groups. The treatment group consis
BARSIC [14]

Answer:

The requirements for the hypothesis test does satisfied the method for testing the claim that from two population proportions the rate of polio is less for children given the salk vaccine.

Step-by-step explanation:

The percentage of children in the treatment group was:

(201229/401974)*100 = 49.9%

The percentage of children given placebo was:

(200745/401974)*100 = 50.1%

The percentage of children that developed polio in the treatment group:

(33/200745)*100 = 0.0164%

The percentage of children that developed polio in the placebo group:

(115/201229)*100 = 0.0571%

The percentage difference between the two group:

((0.0571-0.0164)/0.0571) = 61.62%

Therefore:

The amount of children used for each group was almost divided into half of the total amount of children. The test revealed although very small percentages of the both group developed polio, 68.62% more children given placebo than the children that was given the salk vaccine. Therefore, the study shows that the rate of polio is less for children given the salk vaccine and the the hypthesis test is satisfied.

6 0
3 years ago
DOES ANYONE KNOW THE ANSWER?????????
givi [52]

There's only information to answer question C.

We can only know that 32 marbles were chosen. (yellow and black)

Why?

To answer the first two questions (a and b), we need to know the total number of marbles, so, we can only answer the last question (c).

We know that 7/10 of the 20 yellow marbles were chosen.

So, calculating we have:

\frac{7}{10}*20=14(yellow)

Also, we know that 18 black marbles were chosen, so, the total of marbles chosen is equal to 32 (yellow marbles and black marbles)

TotalMarbles=14(yellow)+18(black)=32marbles

Have a nice day!

8 0
3 years ago
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